Procedure

  • Measured one meter of string
  • Tied weight set of 50 grams so that it was approximately one meter from the center of mass of to the pivot point
  • Pulled it back to an amplitude of Pi/4
  • Released and simultaneously started the timer
  • Stopped the timer after 3 swings, repeated 3 times, with recording
  • Repeated increasing the mass by 20 grams each time for five trials
  • Varied the amplitude with mass held constant
  • Varied length of string with mass and amplitude held constant

Data

Simple_Pendulum_Data.PNG

Graphs

Simple_Pendulum_Graph_1.PNG
Simple_Pendulum_Graph_2.PNG
Simple_Pendulum_Graph_3.PNG

The graphs and data show that there is a correlation between length and period because there is a slop in this relationship. In all of the other relationships the slopes were close to 0, indicating that the variable is independent of the period.

Mathematical Model


T = 2pi(L/g)^(1/2)

The graphs correlate to what was found in the lab, that the period of the pendulum is dependent on the length and that mass and amplitude are dependent of the period.